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Finding the Fourth Proportional to 1,078.05, 1,616.60 and 308.37

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Solution

The fourth proportional to 1,078.05, 1,616.60 and 308.37 is: 462.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.05 : 1,616.60 = 308.37 : x
  2. Step 2: Convert to fraction form
    1,078.05/1,616.60 = 308.37/x
  3. Step 3: Cross multiply
    1,078.05x = 1,616.60 × 308.37
  4. Step 4: Simplify right side
    1,078.05x = 498,509.40
  5. Step 5: Solve for x
    x = 498,509.40/1,078.05
  6. Step 6: Final answer
    x = 462.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.